Atkin-Lehner |
2- 3+ 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536t |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
76135857408 = 28 · 32 · 135 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 2 1 6 13+ -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11157,-449703] |
[a1,a2,a3,a4,a6] |
Generators |
[-486:111:8] |
Generators of the group modulo torsion |
j |
600018956320768/297405693 |
j-invariant |
L |
7.0674749922109 |
L(r)(E,1)/r! |
Ω |
0.4645392051044 |
Real period |
R |
3.8034868287591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13884d1 |
Quadratic twists by: -4 |